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If matrix [{:(0,a,3),(2,b,-1),(c,1,0):}]...

If matrix `[{:(0,a,3),(2,b,-1),(c,1,0):}]` is skew-symmetric matrix, then find the values of a,b and c,

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To solve the problem of finding the values of \( a \), \( b \), and \( c \) in the skew-symmetric matrix \[ \begin{pmatrix} 0 & a & 3 \\ 2 & b & -1 \\ c & 1 & 0 \end{pmatrix} ...
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NCERT EXEMPLAR-MATRICES-Matrices
  1. If A=[{:(1,2),(4,1):}] , then find A^(2)+2A+7I.

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  2. If A=[{:(cos alpha,sin alpha),(-sin alpha, cos alpha):}] and A^(-1)=A'...

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  3. If matrix [{:(0,a,3),(2,b,-1),(c,1,0):}] is skew-symmetric matrix, the...

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  4. If P(x)=[(cosx, sinx),(-sinx, cosx)], then show that P(x).P(y)=P(x+y)=...

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  5. If A is square matrix such that A^(2)=A, then show that (I+A)^(3)=7A+I...

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  6. If A, B are square matrices of same order and B is skew-symmetric mat...

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  7. Let A ,B be two matrices such that they commute. Show that for any pos...

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  8. z, if A='[{:(0,2y,z),(x,y,-z),(x,-y,z):}] satisfy A'=A^(-1)

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  9. If possible using elementary row transformations, find the inverse of ...

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  10. Express the matrix [{:(2 ,1),(3,4):}] as the sum of a symmetric and a ...

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  11. The matrix P=[{:(0,0,4),(0,4,0),(4,0,0):}] is a

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  12. Total number of possible matrices of order 3xx3 with each entry 2 or 0...

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  13. [{:(2x+y,4x),(5x-7,4x):}]=[{:(7,7y-13),(y,x+6):}] then the value of x,...

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  14. If A=1/pi[sin^(-1)(pix)tan^(-1)(x/pi)sin^(-1)(x/pi)cot^(-1)(pix)] and ...

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  15. If A and B are two matrices of the order 3 xx m and 3 xx n, respective...

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  16. If A=[{:(0,1),(1,0):}] then A^(2) is equal to

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  17. If matrix A=[a(ij)](2X2), where a(ij)={[1,i!=j],[0,i=j]}, then A^2 i...

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  18. The matrix [{:(1,0,0),(0,2,0),(0,0,4):}] is a

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  19. The matrix [{:(0,-5,8),(5,0,12),(-8,-12,0):}] is a

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  20. If A is matrix of order mxxn and B is a matrix such that AB' and B'A ...

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